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Finding the Fourth Proportional to 5,490.74, 7,577.17 and 2,972.79

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Solution

The fourth proportional to 5,490.74, 7,577.17 and 2,972.79 is: 4,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.74 : 7,577.17 = 2,972.79 : x
  2. Step 2: Convert to fraction form
    5,490.74/7,577.17 = 2,972.79/x
  3. Step 3: Cross multiply
    5,490.74x = 7,577.17 × 2,972.79
  4. Step 4: Simplify right side
    5,490.74x = 22,525,297.32
  5. Step 5: Solve for x
    x = 22,525,297.32/5,490.74
  6. Step 6: Final answer
    x = 4,102.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.